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arXiv · 1403.4059

Automorphisms of normal quasi-circular domains

Atsushi Yamamori
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Abstract

It was shown by Kaup that every origin-preserving automorphism of quasi-circular domains is a polynomial mapping. In this paper, we study how the weight of quasi-circular domains and the degree of such automorphisms are related. By using the Bergman mapping, we prove that every origin-preserving automorphism of normal quasi-circular domains in $\mathbb C^2$ is linear.

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Atsushi Yamamori. 2014-03-17. Automorphisms of normal quasi-circular domains. https://doi.org/10.1016/j.bulsci.2013.10.002

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